Bound States in One Dimension

2010 ◽  
pp. 32-62
Author(s):  
Siegmund Brandt ◽  
Hans Dieter Dahmen ◽  
Tilo Stroh
Keyword(s):  
Bound States ◽  
One Dimension

scholarly journals Universality of excited three-body bound states in one dimension

2021 ◽  
Author(s):  
Lucas Happ ◽  
Matthias Zimmermann ◽  
Maxim A Efremov
Keyword(s):  
Excited States ◽  
Bound States ◽  
Space Dimension ◽  
Binding Energies ◽  
Wave Functions ◽  
One Dimension ◽  
Strong Indication ◽  
Body System ◽  
Weakly Bound ◽  
Three Body

Abstract We study a heavy-heavy-light three-body system confined to one space dimension in the regime where an excited state in the heavy-light subsystems becomes weakly bound. The associated two-body system is characterized by (i) the structure of the weakly-bound excited heavy-light state and (ii) the presence of deeply-bound heavy-light states. The consequences of these aspects for the behavior of the three-body system are analyzed. We find a strong indication for universal behavior of both three-body binding energies and wave functions for different weakly-bound excited states in the heavy-light subsystems.

Bound States in One Dimension

1994 ◽  
pp. 22-44
Author(s):  
Siegmund Brandt ◽  
Hans Dieter Dahmen
Keyword(s):  
Bound States ◽  
One Dimension

Bound States in One Dimension

1994 ◽  
pp. 22-43
Author(s):  
Siegmund Brandt ◽  
Hans Dieter Dahmen
Keyword(s):  
Bound States ◽  
One Dimension

Bound States in One Dimension

1989 ◽  
pp. 20-39
Author(s):  
Siegmund Brandt ◽  
Hans Dieter Dahmen
Keyword(s):  
Bound States ◽  
One Dimension

Bound States in One Dimension

1992 ◽  
pp. 20-39
Author(s):  
Siegmund Brandt ◽  
Hans Dieter Dahmen
Keyword(s):  
Bound States ◽  
One Dimension

scholarly journals (1+1)-Dirac bound states in one dimension, with position-dependent Fermi velocity and mass

Open Physics ◽  
2013 ◽  
Vol 11 (4) ◽  
Author(s):  
Omar Mustafa
Keyword(s):  
Harmonic Oscillator ◽  
Bound States ◽  
Bound State ◽  
One Dimension ◽  
Fermi Velocity ◽  
Dirac Particles ◽  
The Continuum ◽  
Oscillator Models

AbstractWe extend Panella and Roy’s [17] work for massless Dirac particles with position-dependent (PD) velocity. We consider Dirac particles where the mass and velocity are both position-dependent. Bound states in the continuum (BIC)-like and discrete bound state solutions are reported. It is observed that BIC-like solutions are not only feasible for the ultra-relativistic (massless) Dirac particles but also for Dirac particles with PDmass and PD-velocity that satisfy the condition m(x) v F2 (x) = A, where A ≥ 0 is constant. Dirac Pöschl-Teller and harmonic oscillator models are also reported.

A perturbation formalism for semiclassical, bound states in one dimension

1979 ◽  
Vol 74 (3-4) ◽  
pp. 170-172 ◽  
Author(s):  
Grayson H. Walker
Keyword(s):  
Bound States ◽  
One Dimension

scholarly journals Evidence for dispersing 1D Majorana channels in an iron-based superconductor

Science ◽  
2020 ◽  
Vol 367 (6473) ◽  
pp. 104-108 ◽  
Author(s):  
Zhenyu Wang ◽  
Jorge Olivares Rodriguez ◽  
Lin Jiao ◽  
Sean Howard ◽  
Martin Graham ◽  
...  
Keyword(s):  
Bound States ◽  
Domain Walls ◽  
Lattice Structure ◽  
Condensed Matter ◽  
One Dimension ◽  
Scanning Tunneling ◽  
Majorana Fermions ◽  
Topological Phase ◽  
Linear Dispersion ◽  
Combined Data

The possible realization of Majorana fermions as quasiparticle excitations in condensed-matter physics has created much excitement. Most studies have focused on Majorana bound states; however, propagating Majorana states with linear dispersion have also been predicted. Here, we report scanning tunneling spectroscopic measurements of crystalline domain walls (DWs) in FeSe0.45Te0.55. We located DWs across which the lattice structure shifts by half a unit cell. These DWs have a finite, flat density of states inside the superconducting gap, which is a hallmark of linearly dispersing modes in one dimension. This signature is absent in DWs in the related superconductor, FeSe, which is not in the topological phase. Our combined data are consistent with the observation of dispersing Majorana states at a π-phase shift DW in a proximitized topological material.

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